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Finding the Fourth Proportional to 177,967.71, 266,975.06 and 65,726.82

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Solution

The fourth proportional to 177,967.71, 266,975.06 and 65,726.82 is: 98,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,967.71 : 266,975.06 = 65,726.82 : x
  2. Step 2: Convert to fraction form
    177,967.71/266,975.06 = 65,726.82/x
  3. Step 3: Cross multiply
    177,967.71x = 266,975.06 × 65,726.82
  4. Step 4: Simplify right side
    177,967.71x = 17,547,421,384.48
  5. Step 5: Solve for x
    x = 17,547,421,384.48/177,967.71
  6. Step 6: Final answer
    x = 98,598.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.